Question

Write the equation if the line that passes through the point (3,5)

Answer 1

Since the line is parallel to the graph y = 2/3x + 1, then it must have a gradient of 2/3, by definition.

Hence, let's use the point-gradient form:
$y - y_1 = \frac{2}{3}(x - x_1)$, where (x₁, y₁) are the coordinates we're passing through

$y - 3 = \frac{2}{3}(x - 5)$
$3y - 9 = 2x - 10$
$3y = 2x - 1$
$y = \frac{2}{3}x + 3$

Answer 2

Not enough information to solve